Transformations in Geometry

The video tutorial explains geometric transformations, including dilation, rotation, translation, and reflection. It highlights the concept of isometries, where original and new images are congruent, and describes how to notate transformations using primes. Dilation changes size but maintains ratios, while rotation, translation, and reflection preserve size and shape.

What is the primary purpose of transformations in geometry?

• To alter the size, shape, or position of a figure

• To change the color of a figure

• To create a new type of figure

• To remove a figure from a plane

Which transformation involves changing the size of a figure while keeping its proportions the same?

• Reflection

• Rotation

• Translation

• Dilation

What is a key characteristic of a rotation transformation?

• It flips the figure over a line

• It turns the figure around a fixed point

• It involves sliding the figure

• It changes the size of the figure

Which transformation does not alter the size or shape of a figure?

• Shearing

• Scaling

• Rotation

• Dilation

What is the effect of a rotation on a figure?

• It slides the figure

• It turns the figure around a point

• It changes the figure's shape

• It changes the figure's size

Which transformation is described as sliding a figure in a specific direction?

• Reflection

• Translation

• Rotation

• Dilation

What happens to a figure during a translation?

• It is flipped

• It is enlarged

• It is slid

• It is rotated

What is required for a reflection transformation?

• A fixed point

• A direction to slide

• A line to flip over

• A scale factor

What is the result of a reflection transformation?

• A larger figure

• A mirror image

• A smaller figure

• A rotated image

Which of the following is an isometry?

• Shearing

• Rotation

• Dilation

• Scaling